Unit 16: Squaring Numbers
Section A: Introducing square numbers
Short-answer questions
Specific instructions to students
•
This section is designed to help you to improve your skills and increase your speed in squaring numbers.
• Read the following questions and answer all of them in the spaces provided.
• You may not use a calculator.
• You need to show all working.
Any number squared is multiplied by itself.
Answer:
121
Example
4 squared = 42 = 4 × 4 = 16
QUESTION 7
102 =
Answer:
QUESTION 1
62 =
Answer:
36
100
QUESTION 8
92=
Answer:
QUESTION 2
82=
Answer:
64
81
QUESTION 9
22 =
Answer:
QUESTION 3
122 =
Answer:
144
4
QUESTION 10
42 =
Answer:
QUESTION 4
32 =
16
Answer:
9
QUESTION 5
72 =
Answer:
QUESTION 6
112=
50 Habia
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Maths & English for Hairdressing
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Section B: Applying square numbers in the trade
Worded practical problems
Specific instructions to students
• This section is designed to help you to improve your skills and increase your speed in calculating volumes of
rectangular or square objects. The worded questions make the content relevant to everyday situations.
• Read the following questions and answer all of them in the spaces provided.
• You may not use a calculator.
• You need to show all working.
QUESTION 1
Answer:
If there are 5 × 5 hair spray cans in a box, how many
cans are there in total?
25
Answer:
25
QUESTION 2
A box of shampoo arrives at a salon stacked 6 × 6. What
is the total number of bottles of shampoo?
Answer:
36
QUESTION 7
A box of shampoo and conditioner bottles arrive at a
salon. If they are packed in a 20 × 20 formation, how
many are there?
Answer:
400
QUESTION 8
QUESTION 3
A salon stocks the following: 5 × 5 tint bowls, 3 × 3 capes
and 7 × 7 vent brushes. How many items of stock are
there in total?
There are 12 × 12 round brushes packed into a box. How
many are in the box?
Answer:
Answer:
83
144
QUESTION 9
QUESTION 4
A colour shade chart consists of 5 × 5-inch light strands,
5 × 5-inch medium strands and 5 × 5-inch dark strands.
How many individual strands are there in total?
A warehouse floor has an area that is 15 m × 15 m. How
much floor area is this in square metres (m2)?
Answer:
Answer:
15
225 m2
QUESTION 10
QUESTION 5
A merchandise box contains hair gel tubes that are in
rows of 8 × 8. How many tubes of hair gel are there?
A colour shade chart consists of the following: 3 × 3 dark
pieces; 3 × 3 medium pieces; 3 × 3 medium-dark pieces and
3 × 3 white pieces. How many pieces are there in total?
Answer:
Answer:
64
36
QUESTION 6
A salon manager unpacks two boxes to put on display.
The first box contains 4 × 4 cans of hair spray. The
second box contains hair wax that is packed in a 3 × 3
formation. How many stock items are there in total?
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